What is the 8750th prime number?
The 8750th prime number is 90373. The next prime is 90379 (a gap of 6) and the one before is 90371.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 8750th one is 90373.
- 2
90373 is prime because no prime up to ā90373 ā 300.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8750th prime is close to 8750 Ć ln(8750) ā 79422, and here it is 90373.
- 4
90373 is a twin prime: 90371 and 90373 are both prime.
Primes around the 8750th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8747 | 90353 | 40 |
| 8748 | 90359 | 6 |
| 8749 | 90371 | 12 |
| 8750 | 90373 | 2 |
| 8751 | 90379 | 6 |
| 8752 | 90397 | 18 |
| 8753 | 90401 | 4 |
Questions
What is the 8750th prime number?
90373.
Which prime number is 90373?
90373 is the 8750th prime number.
What is the sum of the first 8750 primes?
374,263,455.